Peaceful enough coexistence
A few more days in, and the new hens are doing pretty good. They still hang pretty close to the coop. One got a little confused yesterday when she found herself outside the run and by the compost pile behind the coop, but with a few nudges she made it.
A few birds are doing some chest-bumping pecking order dances. These are natural (and not vicious), but still difficult for humans to witness.
The goats remain unimpressed.